Checking the cable/fluid if hydrolic would likely be the first step do you feel any resistance when pressing the pedal down?
Cables don't really stretch, or not by a measurable amount.
First, are you sure it is a cable? Or is this an assumption?
Find the other end, at the gearbox. There will be a lever on the gearbox operated either by the cable or a hydraulic cylinder. Get someone to push the pedal down while you watch the lever. See if it travels as far as expected, or barely at all.
If it does not move far enough, hydraulics or cable are at fault. If it moves OK, but clutch does not disengage, gearbox needs to come out. Either needs a new clutch, or the release pivot or fork need attention.
That sounds more like it's a hydrolic system then cable
And it's been leaking fluid until it's got to the point where the clutch will no longer engage
Check under the bonnet for a clutch fluid reservoir and look at the fluid level
If the system is the same as mine and similar to a lot of modern cars the fluid reservoir will be shared with the brake fluid, it is likely that it is a concentric slave so the hydraulics will be inside the gearbox bell housing, meaning that there will only be a pipe with a connection going into the gear box, no leaver to see. It is well worth bleeding the system as if it’s been a small leak over a period of time then you can buy yourself some time and get the system working again, obviously speed of leak will depend how long for. If you look up concentric slave on eBay you will see pics of the item and then it is quite clear how it operates. I have seen this before and having bled the system as a gesture of good will with a full brief not to expect it to work for long, then not seen that fault again, you never know your luck. If you detect the leak then you know that there is a failure in the system.
Continue bleeding it until you no longer have any air coming out.
(That looks so similar to the M32 box on My T-jet)
It takes hours to bleed the clutch ..make sure you continue topping up the reservoir.
Have somebody in the car doing the pumping.
2-3 pumps=> pedal pressed => release nipple =>tighten nipple
Repeat X 100
The clutch line is't a straight direct piece of pipe... it goes through a restrictor and then there is a loop and some more nonsense just to make it feel a certain way.
Pushing a few bubbles of air through all that is really difficult.
A vacuum bleeder might work better.
When i replaced the clutch on mine. and had to bleed the clutch i had to re-bleed it over the next few days.. because at first start the pedal felt mushy .. about 4 days later it was finally ok.
When i bled mine i used a one-way check valve to be able to bleed it by myself.
something like this:
https://www.ebay.com/itm/Hydraulic-...Way-Valve-Check-Siphon-Tool-Kit-/182055523241
It works better on brakes than the the clutch.. but i did manage to use it.
Bleeding it will not fix the problem.
If air has got in, fluid has got out.
Master cylinder letting air in, or fluid out? Check carpet above pedal for damp.
Slave letting fluid out? You're stuffed. Gearbox out to fix as it is a concentric cylinder. Probably best to replace the clutch at same time, as little extra labour.
Picture he put up looks like external slave!